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Finding the Third Proportional to 160,852 and 236,596

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Solution

The third proportional to 160,852 and 236,596 is: 348,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,852 : 236,596 = 236,596 : x
  2. Step 2: Convert to fraction form
    160,852/236,596 = 236,596/x
  3. Step 3: Cross multiply
    160,852x = 236,596 × 236,596
  4. Step 4: Simplify right side
    160,852x = 55,977,667,216
  5. Step 5: Solve for x
    x = 55,977,667,216/160,852
  6. Step 6: Final answer
    x = 348,007.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.